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IWCIA

2004

Springer

2004

Springer

We consider simple cube-curves in the orthogonal 3D grid of cells. The union of all cells contained in such a curve (also called the tube of this curve) is a polyhedrally bounded set. The curve’s length is deﬁned to be that of the minimum-length polygonal curve (MLP) fully contained and complete in the tube of the curve. So far, only a ”rubber-band algorithm” is known to compute such a curve approximately. We provide an alternative iterative algorithm for the approximative calculation of the MLP for curves contained in a special class of simple cube-curves (for which we prove the correctness of our alternative algorithm), and the obtained results coincide with those calculated by the rubber-band algorithm.

Related Content

Added |
02 Jul 2010 |

Updated |
02 Jul 2010 |

Type |
Conference |

Year |
2004 |

Where |
IWCIA |

Authors |
Fajie Li, Reinhard Klette |

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